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Finding the Third Proportional to 317,535.75 and 684,927

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Solution

The third proportional to 317,535.75 and 684,927 is: 1,477,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,535.75 : 684,927 = 684,927 : x
  2. Step 2: Convert to fraction form
    317,535.75/684,927 = 684,927/x
  3. Step 3: Cross multiply
    317,535.75x = 684,927 × 684,927
  4. Step 4: Simplify right side
    317,535.75x = 469,124,995,329
  5. Step 5: Solve for x
    x = 469,124,995,329/317,535.75
  6. Step 6: Final answer
    x = 1,477,392.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.